Ants, Bikes, and Clocks PDF Download

Author: William Briggs
Publisher: SIAM
ISBN: 0898715741
Category : Mathematics
Languages : en
Pages : 168

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Book Description
This book is a readable and enjoyable text designed to strengthen the problem-solving skills of undergraduate students.

Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898716462
Category : Mathematics
Languages : en
Pages : 431

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Book Description
“This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field.” — Alan Laub, Professor, University of California, Los Angeles The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author's elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an emphasis on results of practical interest and an extensive collection of problems and solutions. Functions of Matrices: Theory and Computation is more than just a monograph on matrix functions; its wide-ranging content—including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection—makes it useful as a general reference in numerical linear algebra.Other key features of the book include development of the theory of conditioning and properties of the Fréchet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Padé approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB® toolbox providing implementations of the key algorithms.Audience: This book is for specialists in numerical analysis and applied linear algebra as well as anyone wishing to learn about the theory of matrix functions and state of the art methods for computing them. It can be used for a graduate-level course on functions of matrices and is a suitable reference for an advanced course on applied or numerical linear algebra. It is also particularly well suited for self-study. Contents: List of Figures; List of Tables; Preface; Chapter 1: Theory of Matrix Functions; Chapter 2: Applications; Chapter 3: Conditioning; Chapter 4: Techniques for General Functions; Chapter 5: Matrix Sign Function; Chapter 6: Matrix Square Root; Chapter 7: Matrix pth Root; Chapter 8: The Polar Decomposition; Chapter 9: Schur-Parlett Algorithm; Chapter 10: Matrix Exponential; Chapter 11: Matrix Logarithm; Chapter 12: Matrix Cosine and Sine; Chapter 13: Function of Matrix Times Vector: f(A)b; Chapter 14: Miscellany; Appendix A: Notation; Appendix B: Background: Definitions and Useful Facts; Appendix C: Operation Counts; Appendix D: Matrix Function Toolbox; Appendix E: Solutions to Problems; Bibliography; Index.

Author: Jonathan Hancock
Publisher: Teach Yourself
ISBN: 1444136496
Category : Self-Help
Languages : en
Pages : 138

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Book Description
Train your brain to be quicker, sharper and more acute by challenging yourself with these puzzles and games. This book does much more than give you the skills to tackle maths with confidence - instead it shows you how, by learning to solve practical problems and perfecting your mental arithmetic, you can strengthen all your key thinking skills and astonish your friends and family. This is the ultimate mental workout - and the only one to show you how these fun and diverting number games will actually make you smarter, quicker and more acute than any of your peers.

Author: New Zealand Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 288

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Author:
Publisher:
ISBN:
Category : Mathematical models
Languages : en
Pages : 650

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Book Description

Author: Peter Winkler
Publisher: CRC Press
ISBN: 0429557973
Category : Mathematics
Languages : en
Pages : 392

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Book Description
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 616

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Book Description
Problem-solving journal at the senior secondary and university undergraduate levels for those who practice or teach mathematics. Primarily educational in purpose, it also serves those who read it for professional, cultural and recreational reasons.

Author: Martin Gardner
Publisher: W. W. Norton & Company
ISBN: 9780393020236
Category : Mathematics
Languages : en
Pages : 748

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Book Description
No amateur or math authority can be without this ultimate compendium of classic puzzles, paradoxes, and puzzles from America's best-loved mathematical expert. 320 line drawings.

Author: Henry E. Dudeney
Publisher: Courier Dover Publications
ISBN: 0486796868
Category : Mathematics
Languages : en
Pages : 449

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Book Description
This compilation of long-inaccessible puzzles by a famous puzzle master offers challenges ranging from arithmetical and algebraical problems to those involving geometry, combinatorics, and topology, plus game, domino, and match puzzles. Includes answers.

Author: Wayne A. Wickelgren
Publisher: Courier Corporation
ISBN: 0486152685
Category : Science
Languages : en
Pages : 292

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Book Description
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.